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20346818789376 = 21934677151
BaseRepresentation
bin1001010000001010111001…
…11010000000000000000000
32200001010200210012110110000
410220011130322000000000
510131330241102230001
6111135111032240000
74200003065054412
oct450053472000000
980033623173400
1020346818789376
1165350458477a2
122347424540000
13b47909a91bc1
14504b113d69b2
1525440299da86
hex12815ce80000

20346818789376 has 400 divisors, whose sum is σ = 61705132315200. Its totient is φ = 6680110694400.

The previous prime is 20346818789333. The next prime is 20346818789383. The reversal of 20346818789376 is 67398781864302.

20346818789376 is a `hidden beast` number, since 2 + 0 + 3 + 468 + 1 + 8 + 7 + 8 + 93 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2845307401 + ... + 2845314551.

It is an arithmetic number, because the mean of its divisors is an integer number (154262830788).

Almost surely, 220346818789376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20346818789376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30852566157600).

20346818789376 is an abundant number, since it is smaller than the sum of its proper divisors (41358313525824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20346818789376 is an frugal number, since it uses more digits than its factorization.

20346818789376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 20346818789376 in words is "twenty trillion, three hundred forty-six billion, eight hundred eighteen million, seven hundred eighty-nine thousand, three hundred seventy-six".